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10057663 = 711130619
BaseRepresentation
bin100110010111…
…011110111111
3200220222112001
4212113132333
510033321123
6555323131
7151326430
oct46273677
920828461
1010057663
11574a520
1234504a7
132111ba5
14149b487
15d3a0ad
hex9977bf

10057663 has 8 divisors (see below), whose sum is σ = 12539520. Its totient is φ = 7837080.

The previous prime is 10057661. The next prime is 10057667. The reversal of 10057663 is 36675001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10057663 - 21 = 10057661 is a prime.

It is a super-3 number, since 3×100576633 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65233 + ... + 65386.

It is an arithmetic number, because the mean of its divisors is an integer number (1567440).

Almost surely, 210057663 is an apocalyptic number.

10057663 is a deficient number, since it is larger than the sum of its proper divisors (2481857).

10057663 is a wasteful number, since it uses less digits than its factorization.

10057663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130637.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 10057663 is about 3171.3818754606. The cubic root of 10057663 is about 215.8567794859.

It can be divided in two parts, 1005 and 7663, that added together give a palindrome (8668).

The spelling of 10057663 in words is "ten million, fifty-seven thousand, six hundred sixty-three".

Divisors: 1 7 11 77 130619 914333 1436809 10057663